OpenOffice.org HowTo: Formula

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1 OpenOffice.org HowTo: Adapted and translated from OpenOffice.org Formel This version: July 2005 First Edition: Unknown First English Edition: 05 June 2003

2 Contents Contents Table of Contents Contents...2 Overview...3 Copyright and trademark information...3 Feedback...3 Acknowledgments...3 Modifications and updates...4 Entry...5 Menu bar...5 Function bar...5 Tool bar...5 Command Icon Box...6 Command Dialog Box...6 Creating an Equation with Dialog Commands...7 Special Formating...8 Exponentiation:...8 Subscripting:...8 Leading and trailing superscript and subscript:...9 Center subscript / superscript:...9 Under brace / Over brace:...10 Various types of Brackets...10 Special Characters...11 Special Operators...12 Integral Sign:...12 Summation Character:...12 Product Character:...12 Vector and Matrix...13 Vector...13 Matrix...13 OpenOffice.org How-To ii

3 Formating...14 Size...14 Color...14 Layout...14 Alignment...15 Examples...16 Index...17 Overview Contents OpenOffice.org's burgeoning popularity has increased the need for a comprehensive set of HowTos to aid users. Copyright and trademark information Copyright 2003 Fred Saalbach. Permission is granted to copy, distribute and/or modify this document under the terms of the following licenses GNU Lesser General Public License, GNU General Public License,, The Public Documentation License., or the Sun Industry Standards Source License All trademarks within this guide belong to legitimate owners. Feedback Please direct any comments or suggestions about this document to: dev@documentation.openoffice.org Acknowledgments Extensive use of the OpenOffice.org German Formel How-To by Harald Schilly was made when developing this document. The German document is available on Das Deutsch OpenOffice.org Portal Layout is in accordance with the OpenOffice.org Style Guide for U.S. Documentation OpenOffice.org How-To 3

4 Modifications and updates Modifications and updates This is the first edition. This section will record changes made for future additions. Document Revision Date Description of Change /05/03 Initial edition issued for comment /26/03 Various corrections /04/04 Added name of author of german HowTo, and reference to the location of the german document. OpenOffice.org How-To 4

5 Entry Entry Main View of OpenOffice. Illustration 1Main View Menu bar The Menu bar contains all of the functions of as drop down menus. OpenOffice.org How-To 5

6 Entry Function Illustration 3Function bar Illustration 2Menu bar bar The Function bar functions like copy, and paste. provides icons for basic open file, save file, Tool bar The tool bar is Illustration 4Function bar divided into two parts. The upper part is for adjusting the on screen size of the image. The lower part contains an icon for an interactive cursor, and an icon for inserting special characters. Command Icon Box The command icon box provides a method of writing an equation using GUI similar to other word processors. Illustration 5Icon box The upper two rows in the icon box are menus that call the actual command buttons into OpenOffice.org How-To 6

7 Entry the lower portion of the command box. The command buttons are used to insert the appropriate command at the cursor position in the command field. Command Dialog Box Illustration 6Command dialog box The command dialog box displays the commands that create the equation. The dialog box can be edited directly. Creating an Equation with Dialog Commands To create an equation with equation editor, enter the programming commands in logical sequence into the dialog box. The commands entered are similar to the commands used to generate equations in TeX ( a scientific publishing format). Maintaining logical consistency of the commands entered into the dialog box is important. The brackets used in the dialog box must be matched, for example all "(" must have a corresponding ")". Here are some examples. As you will see it really is simple to type formulas in the dialog box. 1+1=2 1 1=2 Table 1Example, create equation, addition The next example shows how round brackets ( ) and braces { } are used. The parenthesis are used when it is desired to display grouping in the equation, the brace is used to group the commands, but to not display. If braces are needed in an equation, then the lbrace and rbrace commands are used. (1+2) over (2+3) { 1+2 } over { 2+3 } lbrace 1+2 rbrace over lbrace 2+3 rbrace {1 2 } {2 3 } Table 2Example, create equation, addition, brackets, division OpenOffice.org How-To 7

8 Creating an Equation with Dialog Commands Here is a more complicated example. {{1 over 5} +4} over {5+{4+1}over{3+3+1}} Table 3Example, complicated Special Formating Of course there are many other types of groupings that can be created with Open Office. Exponentiation: 2^ ^(1+3+3^2) Table 4Example, exponentiation Subscripting: 2_3 2 3 (1 over 2)_%alpha +4_ Table 5Example, subscripting OpenOffice.org How-To 8

9 Special Formating Leading and trailing superscript and subscript: 2 lsub ( 123 ) rsub ( 123 ) lsup ( 123 ) rsup ( 123 ) Bi lsup{209}+fe lsup{58} toward Mt lsup{266}lsub{109} +n lsup {1} 209 Bi 58 fe Table 6Example, leading and trailing superscript and subscript. In the last example, the 'Mt' has both leading superscript and subscript applied. This requires only typing both commands after 'Mt' Mt 1 n Center subscript / superscript: {2-4*3} csub ( 123 ) csup ( plus ) - ( ) csub {minus} plus minus Table 7Example, center subscript and superscript. OpenOffice.org How-To 9

10 Special Formating Under brace / Over brace: + 18 underbrace plus - ( ) underbrace minus + 18 overbrace plus - ( ) overbrace minus plus minus plus 18 minus Table 8Example, under brace and over brace. Various types of Brackets In almost all equations various types of brackets are required. OpenOffice formula allows the use of several kinds of brackets. { } structural braces: used to group parts of an equation for programming purposes. ( ) Parenthesis: used to group parts of an equation. Parenthesis are displayed in the final equation. [ ] square brackets: usage is the same as parenthesis ( ). { } braces: as the keyboard characters { } are used for program commands and are not displayed in the resulting formula, braces must be typed as lbrace for '{' and rbrace for '}' The size of brackets can be controlled with the commands 'left' and 'right' (1+2-2 cdot (2 over (2-1 ))) left (1+2-2 cdot left (2 over {2-1} right ) right ) left lbrace a^2+b^2=c^2 right rbrace { a 2 b 2 =c 2 } Table 9Example, brackets OpenOffice.org How-To 10

11 Various types of Brackets Special Characters Many equations use special characters in addition to the usual characters of the alphabet. Open office provides an easy method to use Greek characters, while any other character in the available fonts can be used. The Sigma appears in the tool bar when Open Office is active. This activates the dialog for special characters. The Greek letters and other symbols can be entered directly into the command dialog box by entering the name of the special character followed by %, for example %SIGMA produces and %mu gives. OpenOffice.org How-To 11

12 Special Characters Special Operators The following examples show the use of some special operators Integral Sign: int from {0} to {infinity}{a^2 over 3} = "?" 2 a 0 3 =? Table 10Example, integral sign. Summation Character: sgn (%sigma) cdot sum from {%SIGMA in %PHI}{1 over {1 - aleph_%sigma^2}} 1 sgn 2 1 ℵ Table 11Example, character. Product Character: prod from {i=1} to {i=100}{{ (x_i+1) cdot x_i^3} over { x_i^2-1 } } = "?" 5^(1+3+3^2) i =100 3 x i 1 x i =? i=1 x 2 i Table 12Example, product character. OpenOffice.org How-To 12

13 Special Operators Vector and Matrix Vectors and Matrices are created by the 'stack' and 'matrix' commands respectively. These commands are used with the octothorp # to indicate elements, and double octothorp ## to indicate new line. An empty element is indicated by structural braces {}. Vector Vectors are composed using the 'stack' command as follows: left (stack {A # B # a+b=c } right ) A B a b =c left( stack {alignr 1 # 2 } right) + left( stack { 2 # 3 } right) + left( stack { 3 # 1 } right) Table 13Example, vector Matrix Matrices are composed using the matrix command as follows: left( matrix { 1 # 2 ## 2 # 3 } right) = x abs matrix { a # b ## c # {} } = y abs matrix { {1 over 2} # b ## c # d } = z =x a b c = y 1 d b 2 =z c Table 14Example, matrix OpenOffice.org How-To 13

14 Formating Formating There are some additional formating commands that are available in Open Office. These allow adjustment of the size, color, and layout of your equation. Size The instruction size changes the size of text in the equation. size -2 { a+b} = size +10 {C} a b =C Table 15Example, size. Color The instruction color changes the color of the text in the equation. Colors available are red, blue, green, yellow, white, and black (default), color blue A left( matrix { { color red 1} # { color blue 2} ## {color green 3} # 4 } right) = color black 1 2 {x} 3 4 =x A Table 16Example, color Layout Various text formating commands are available to change your layout. bold {"bold"} newline "newline" bold newline Table 17Example, color OpenOffice.org How-To 14

15 Formating Alignment The alignment commands are available to change the position of the elements of an equation with respect to each other. stack{ alignr a ={} # alignr b+c+d ={}} stack{ alignl 12 # alignl b^2-2 } 5^(1+3+3^2) a = 12 b c d = b Table 18Example, alignment OpenOffice.org How-To 15

16 Formating Examples Now for the complicated examples: nroot{4}{nroot {3} {1 over 3+x^2} } ldline R_ %alpha rdline =left ldline matrix {sin %alpha # -cos %alpha ## cos %alpha # sin %alpha} right rdline {partial over {partial t} x(t)}+a(x)=%lambda cdot F(x,t) matrix{ a_11 # a_12 # dotsaxis #a_{"1m"} ## a_21 # a_22 # dotsaxis # a_{"2m"} ## dotsvert #dotsvert #dotsdown #dotsvert ## a_{"n1"} # a_{"n2"} # dotsaxis #a_{"nm"} } x 3 R = sin cos cos sin x t a x = F x, t t a 11 a 12 a 1m a 21 a 22 a 2m a n1 a n2 a nm sqrt{1-x} = 1 - x over 2-1 over 2 x^2 over 4 - dotslow 1 x =1 x 2 1 x t= size +6 int from {r_0} to {r_t} size -8 {dr r t over sqrt {2 over %my [E_cm - V(r)] - l^2 over {%my^2 r^2} } } t = r 0 left ( stack{n # k} right ) = fact n over {fact k cdot fact (n-k)} n k = n! k! n k! f(x) = left lbrace matrix {1# x in setz ## 1 over x # x in setq ##0 # x in setr } right none [a;a_0,a_1,a_2,dotslow ] = a+{1 over {a_0+1 over {a_1+{1 over {a_2+1 over dotslow}}}}} Table 19Example, complicated dr 2 my [E cm V r ] l 2 my 2 r 2 1 x Z f x 1 x Q x ={ 0 x R 1 [a ; a 0, a 1, a 2, ]=a 1 a 0 a 1 1 a 2 1 OpenOffice.org How-To 16

17 Index Index Alphabetical Index Index of Tables Table 1Example, create equation, addition 7 Table 2Example, create equation, addition, brackets, division 7 Table 3Example, complicated 8 Table 4Example, exponentiation 8 Table 5Example, subscripting 8 Table 6Example, leading and trailing superscript and subscript. 9 Table 7Example, center subscript and superscript. 9 Table 8Example, under brace and over brace. 9 Table 9Example, brackets 10 Table 10Example, integral sign. 11 Table 11Example, character. 11 Table 12Example, product character. 11 Table 13Example, vector 12 Table 14Example, matrix 12 Table 15Example, size. 12 Table 16Example, color 13 Table 17Example, color 13 Table 18Example, alignment 13 Table 19Example, complicated 14 Table 20Commands, unary & binary. 15 Table 21Commands, relations. 16 Table 22Commands, set operators. 17 Table 23Commands, function. 18 Table 24Commands, operators. 19 Table 25Commands, attributes. 21 OpenOffice.org How-To 17

18 Index Table 26Commands, others. 22 Table 27Commands, braces. 23 Table 28Commands, formats. 24 Table 29Characters, Greek. 25 Table 30Characters, special. 25 Illustration Index Illustration 1Main View 5 Illustration 2Menu bar 5 Illustration 3Function bar 5 Illustration 4Function bar 6 Illustration 5Icon box 6 Illustration 6Command dialog box 6 OpenOffice.org How-To 18

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